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Finding the Fourth Proportional to 418.40, 627.67 and 140.79

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Solution

The fourth proportional to 418.40, 627.67 and 140.79 is: 211.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.40 : 627.67 = 140.79 : x
  2. Step 2: Convert to fraction form
    418.40/627.67 = 140.79/x
  3. Step 3: Cross multiply
    418.40x = 627.67 × 140.79
  4. Step 4: Simplify right side
    418.40x = 88,371.23
  5. Step 5: Solve for x
    x = 88,371.23/418.40
  6. Step 6: Final answer
    x = 211.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.